On Tennis: Amanda Anisimova Leads Young Americans With a Deliberate Pace

“That’s because, in her mind, Amanda’s already been out there before,” said Martin Blackman, the general manager for player development at the United States Tennis Association. “She’s always seen herself competing on the big stages. She’s been preparing for this since she was 8 years old.”

Her potential is clear as she prepares to face another top 10 player, fifth-seeded Karolina Pliskova, in the fourth round on Tuesday.

A letdown is hardly out of the question, but the trick is for no one to get ahead of oneself.

Not the U.S.T.A. Not the news media. Not Anisimova and her already sizable entourage, which includes her father and head coach, Konstantin Anisimov; her mother, Olga; her traveling coach, Max Fomine; her longtime coaching consultant, Nick Saviano; and her longtime agent, Gary Swain; as well as Max Eisenbud, the hard-driving IMG vice president who represents, among others, Maria Sharapova and Madison Keys.

“We’ve got a very long view,” Konstantin Anisimov said. “We are very happy she is doing way better than we expected, to be honest with you, but at the same time we are staying very calm and understanding that she is young. She is still…